Find the Angle $\alpha$ Between Two Nonvertical Lines $L _ { 1 }$

question 379

Multiple Choice

Find the angle $\alpha$ between two nonvertical lines $L _ { 1 }$ and $L _ { 2 }$ .The angle $\alpha$ satisfies the equation
$$\tan \alpha = \left| \frac { m _ { 2 } - m _ { 1 } } { 1 + m _ { 2 } m _ { 1 } } \right|$$
Where $m _ { 1 }$ and $m _ { 2 }$ are slopes of $L _ { 1 }$ and $L _ { 2 }$ , respectively.
(Assume that $m _ { 1 } m _ { 2 } \neq 1$ .)
$L _ { 1 }$ : 5x - 4y = 5 $L _ { 2 }$ : x + y = 1

Round your answer to one decimal place.

Understand the role of emphasizing strengths in showing respect to clients.

Comprehend the significance of goal setting in different levels of practice.

Identify the purposes of formulating objectives, including measuring achievement.

Recognize the varied scales of client systems, including large organizations.

---

Definitions:

Legal Union Federation

An umbrella organization created to represent the collective interests of multiple labor unions or workers’ associations according to legal statutes.

Convergence Thesis

A theory suggesting that industrial societies, regardless of their initial cultural, social, or economic differences, will eventually develop similar structures and values through the process of industrialization.

Labor Relations Practices

The wide range of strategies, policies, and activities employed by employers, employees, and their representatives to manage employment relationships.

Employer Association

An organization of employers united to promote their collective interests, often in negotiations with labor unions or in lobbying for policies favorable to employers.